Alright, let's work through 2372 times 3008 step by step
2372 × 3008 = 3008 × (2372)
+ 3008 × 2 resulting in 6016
+ 3008 × 70 yielding 210560
+ 3008 × 300 giving us 902400
+ 3008 × 2000 resulting in 6016000

= 7134976
